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Finding the Fourth Proportional to 12,025.14, 18,037.97 and 4,127.63

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Solution

The fourth proportional to 12,025.14, 18,037.97 and 4,127.63 is: 6,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.14 : 18,037.97 = 4,127.63 : x
  2. Step 2: Convert to fraction form
    12,025.14/18,037.97 = 4,127.63/x
  3. Step 3: Cross multiply
    12,025.14x = 18,037.97 × 4,127.63
  4. Step 4: Simplify right side
    12,025.14x = 74,453,955.28
  5. Step 5: Solve for x
    x = 74,453,955.28/12,025.14
  6. Step 6: Final answer
    x = 6,191.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.